Mathematics
Grade6
Easy

Question

x to the power of 2 end exponent plus x to the power of 2 end exponent plus x to the power of 2 end exponent plus x to the power of 2 end exponent

  1. 5 x to the power of 2 end exponent    
  2. 4 x to the power of 2 end exponent    
  3. 3 x to the power of 2 end exponent    
  4. 5 x to the power of 0 end exponent    

Hint:

This is an algebraic expression. An algebraic expression consists of two components: a variable and a constant. A variable is a quantity that doesn’t have any fixed value. It takes value according to the conditions. It is denoted by the alphabet. A constant is a quantity with a fixed value. In this question, we are given an expression. We have perform the required operations and find the final value.

The correct answer is: 4 x to the power of 2 end exponent


    The given expression is x2 + x2 + x2+ x2
    There is one variable in above expression. The variable is: ‘x’. There are four terms in the above expression. We have to perform the operations between them and find the right answer.
    If we see all the terms has x raised to power two. Such terms with the same variables or same variable raised to same powers are called “like terms.” And the terms with different variables are called “unlike terms.”
    For like terms, we can perform the operations between their coefficients by keeping the variable constant. It means we can treat each term as a constant and perform operations like normal operations on constants.
    For the above expression we will keep x square as constant as it is common variable. We will add the coefficients of the terms.
    Let’s see the above expression
    x2+ x2 + x2+ x2 = ( 1 + 1 + 1 + 1 ) x2
    = 4x2
    Therefore, the value of the equation is 4x2
    So option which is ’4x2’, is the right option.

    For terms to be like terms the power should be same too. Only like terms are operated with each other.

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